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10320203012 = 2272717310159
BaseRepresentation
bin10011001110010000…
…11100110100000100
3222122020021122002012
421213020130310010
5132113432444022
64424021433352
7513513164300
oct114710346404
928566248065
1010320203012
1144165382a9
12200026b858
13c8613cc02
146dc8b4d00
1540605cde2
hex26721cd04

10320203012 has 72 divisors (see below), whose sum is σ = 21598859520. Its totient is φ = 4300490880.

The previous prime is 10320202969. The next prime is 10320203021. The reversal of 10320203012 is 21030202301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1010789 + ... + 1020947.

It is an arithmetic number, because the mean of its divisors is an integer number (299984160).

Almost surely, 210320203012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320203012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10799429760).

10320203012 is an abundant number, since it is smaller than the sum of its proper divisors (11278656508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10320203012 is a wasteful number, since it uses less digits than its factorization.

10320203012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10321 (or 10312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10320203012 its reverse (21030202301), we get a palindrome (31350405313).

The spelling of 10320203012 in words is "ten billion, three hundred twenty million, two hundred three thousand, twelve".

Divisors: 1 2 4 7 14 28 49 71 73 98 142 146 196 284 292 497 511 994 1022 1988 2044 3479 3577 5183 6958 7154 10159 10366 13916 14308 20318 20732 36281 40636 71113 72562 142226 145124 253967 284452 497791 507934 721289 741607 995582 1015868 1442578 1483214 1991164 2885156 2966428 5049023 5191249 10098046 10382498 20196092 20764996 35343161 36338743 52654097 70686322 72677486 105308194 141372644 145354972 210616388 368578679 737157358 1474314716 2580050753 5160101506 10320203012